Mathematics is not there until we put it there. -Sir Arthur Eddington (1882-1944)
Algebra is a branch of mathematics that uses mathematical statements to describe relationships between things that vary over time. These variables include things like the relationship between supply of an object and its price. When we use a mathematical statement to describe a relationship, we often use letters to represent the quantity that varies, since it is not a fixed amount. These letters and symbols are referred to as variables. (See the Appendix One for a brief review of constants and variables.)
Worksheet: Representing Data. Creating Graphs and Rules from an Organized Chart In this lesson, students investigate relationships between numbers, identify number patterns, represent the information in graphic chart form, and generalize the results of an investigation.
Mini Project: In this project students explore various locations for building a night club. Then theycreate profit function and determine the best location for their night club.
Packet: Scatter Plots and Lines of Best Fit
This assignment help students make connection between the real life data, graph, linear equation, slope, and y-intercept.
Activity: This activity focuses on analyzing supply-and-demand problems from business by solving systems of equations and finding the equations for lines.
**Who Lost More?**Using Percent Decrease to Determine Weight Loss
In this lesson, students analyze ways for calculating weight loss. Students compare the results and choose the method they consider to be the best and most fair.
GAME: **Now and Then**Computing Percents by Playing a Game Using Real Data
Studentsuse their knowledge of percent computations and percent change to answer each game show question
What are my chances
Activity: Students will explore theoretical and experimental probability and the relationship between them. Students will also graph an experiment to further explore the relationship according to the law of large numbers.
**Highway Robbery**
Using Ratios, Unit Rates and Proportions to Solve a Fictitious Bank Robbery.
The National Bank of Illuminations has been robbed! Students apply their knowledge of ratios, unit rates, and proportions to sort through the clues and deduce which suspect is the true culprit.
Slicing Cup Cakes
Activity: In this lesson, students use real-world models to develop an understanding of fractions, decimals, unit rates, proportions, and problem solving.
Unit 7: Properties of exponents, and exponential function
Assignment
Description
Source
7.1
7.2
7.3
Activity: Drug filtering:
students observe a model of exponential decay, and how kidneys filter their blood.
They will calculate the amount of a drug in the body over a period of time.
Lesson: One grain of rice
students take on the role of a villager in a third-world country trying to feed her village. While listening to you read aloud the book One Grain of Rice by Demi, students work collaboratively to come up with a bargaining plan to trick the raja into feeding the village using algebra, exponential growth, and estimation.
Mathematics is not there until we put it there. -Sir Arthur Eddington (1882-1944)
Algebra is a branch of mathematics that uses mathematical statements to describe relationships between things that vary over time. These variables include things like the relationship between supply of an object and its price. When we use a mathematical statement to describe a relationship, we often use letters to represent the quantity that varies, since it is not a fixed amount. These letters and symbols are referred to as variables. (See the Appendix One for a brief review of constants and variables.)
Strategy for Success
Problem of the day
Unit 0: Basic of Mathematics and resources
Algebra Cheat Sheet
Conversion table
Unit 1: Variable, Function Patterns, and Graph
Assignment
Description
Source
A Unique Way to Review Plotting Points
In this lesson, students investigate relationships between numbers, identify number patterns,
represent the information in graphic chart form, and generalize the results of an investigation.
Graph paper
Skin Weight Worksheet
Whale Weight Activity
There is a pattern to adding the numbers in a square
Unit 2: Solving Equations
Assignment
Description
Source
There is a pattern to adding the numbers in a square
profit function and determine the best location for their night club.
Unit 3: Linear Equations and their Graph
Assignment
Description
Source
This assignment help students make connection between the real life data, graph, linear equation, slope, and y-intercept.
Relating Linear Equations and Graphs in a Game of Ships and Attacks
Equation Attack Activity
Slope Cards
Grid paper
Bike weight and jump height Activity
weight and drug dose activity
Winning time activity
Unit 4: System of Linear Equations
Assignment
Description
Source
Supply and Demand Activity 2
Unit 5: Percent, Probability, and Proportion
Assignment
Description
Source
Learning Percents by Purchasing Everyday Classroom Supplies
Invest in your Education
Worksheet 2
Worksheet 3
In this lesson, students analyze ways for calculating weight loss. Students compare the results and choose the method they consider to be the best and most fair.
Who lost more Overhead
http://www.biggestloser.com/
Studentsuse their knowledge of percent computations and percent change to answer each game show question
Now and then Activity Sheet
Now and then Overhead
Proportion
Mix it up beans
Don't freeze the Engine
Estimating beans worksheet
Box model applet
Activity: Students will explore theoretical and experimental probability and the relationship between them. Students will also graph an experiment to further explore the relationship according to the law of large numbers.
Probability graphing
Simulation
Simulating multiple coin toss
Simulating Dice / Spinner
Simulating a single die
Simulating selecting 1 card
Simulating complex deck
Worksheet 1 KEY
Worksheet 2
Worksheet 2 KEY
Worksheet 3
Worksheet 3 KEY
Compound Probability Worksheet 2
Compound Probability Worksheet 3
Ratio
Proportion
Using Ratios, Unit Rates and Proportions to Solve a Fictitious Bank Robbery.
The National Bank of Illuminations has been robbed! Students apply their knowledge of ratios, unit rates, and proportions to sort through the clues and deduce which suspect is the true culprit.
Clue Activity Sheet
Suspect List
Clue Sheet Overhead
Ratio
Proportion
Activity: In this lesson, students use real-world models to develop an understanding of fractions, decimals, unit rates, proportions, and problem solving.
Making four pieces overhead
Cakes cut into eight parts
Cake cut into four parts
Unit 6: Inverse, Direct, and Joint Variation
Assignment
Description
Source
Unit 7: Properties of exponents, and exponential function
Assignment
Description
Source
students observe a model of exponential decay, and how kidneys filter their blood.
They will calculate the amount of a drug in the body over a period of time.
Drug Filtering Activity
students take on the role of a villager in a third-world country trying to feed her village. While listening to you read aloud the book One Grain of Rice by Demi, students work collaboratively to come up with a bargaining plan to trick the raja into feeding the village using algebra, exponential growth, and estimation.
One grain of rice activity sheet
In this activity student explore exponential growth by doubling penny each day.